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What is the Least Common Multiple of 66504 and 66509?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 66504 and 66509 is 4423114536.

LCM(66504,66509) = 4423114536

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Least Common Multiple of 66504 and 66509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66504 and 66509, than apply into the LCM equation.

GCF(66504,66509) = 1
LCM(66504,66509) = ( 66504 × 66509) / 1
LCM(66504,66509) = 4423114536 / 1
LCM(66504,66509) = 4423114536

Least Common Multiple (LCM) of 66504 and 66509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66504 and 66509. First we will calculate the prime factors of 66504 and 66509.

Prime Factorization of 66504

Prime factors of 66504 are 2, 3, 17, 163. Prime factorization of 66504 in exponential form is:

66504 = 23 × 31 × 171 × 1631

Prime Factorization of 66509

Prime factors of 66509 are 66509. Prime factorization of 66509 in exponential form is:

66509 = 665091

Now multiplying the highest exponent prime factors to calculate the LCM of 66504 and 66509.

LCM(66504,66509) = 23 × 31 × 171 × 1631 × 665091
LCM(66504,66509) = 4423114536